Factor 1-100x^2

$1 - 100 x^{2}$

Step 1

Rewrite $1$ as $1^{2}$ .

$1^{2} - 100 x^{2}$

Step 2

Rewrite $100 x^{2}$ as ${(10 x)}^{2}$ .

$1^{2} - {(10 x)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = 10 x$ .

$(1 + 10 x) (1 - (10 x))$

Step 4

Multiply $10$ by $- 1$ .

$(1 + 10 x) (1 - 10 x)$

Factor 1-100x^2

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